10471979781900 has 3456 divisors, whose sum is σ = 46407029760000. Its totient is φ = 1952793722880.

The previous prime is 10471979781889. The next prime is 10471979781953. The reversal of 10471979781900 is 918797917401.

10471979781900 is a `hidden beast` number, since 1 + 0 + 471 + 9 + 7 + 9 + 78 + 1 + 90 + 0 = 666.

It is a super-2 number, since 2×10471979781900² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 132556706061 + ... + 132556706139.

It is an arithmetic number, because the mean of its divisors is an integer number (13427960000).

Almost surely, 2^{10471979781900} is an apocalyptic number.

10471979781900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10471979781900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23203514880000).

10471979781900 is an abundant number, since it is smaller than the sum of its proper divisors (35935049978100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10471979781900 is a wasteful number, since it uses less digits than its factorization.

10471979781900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 63.

The spelling of 10471979781900 in words is "ten trillion, four hundred seventy-one billion, nine hundred seventy-nine million, seven hundred eighty-one thousand, nine hundred".